Geogebra Part C-Triangle Construction

C. Start with a triangle...

• Each vertex should be able to be manipulated. Be sure a generic triangle is maintained when the figure is distorted.
• For each edge, construct an equilateral triangle. These triangles should all go outward or inward.
• Locate the centroids of the equilateral triangles. Label these three points A, B, & Cin clockwise order.
• Construct ΔABC. Use display properties (color, thickness, etc.) to make the construction stand out.
• What properties does ΔABC have?